document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=747562>Question 747562</A>: <I><SPAN STYLE=\"word-break: break-all;\"> (m+2)/(m^2+8m+15)-(2)/(m^2+10m+25)=(m-2)/(m^2+8m+15) I need help, please? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #454992 by </B><A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><B>tommyt3rd(5050)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=tommyt3rd><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=454992\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Don't be fooled by how complicated this monster of an equation looks. We'll methodically simplify it until we can solve.\r<BR>\n" );
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document.write( "First we move all terms with the same denominator to the same side<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A%28%28m%2B2%29%2F%28m%5E2%2B8m%2B15%29%29-%28%28m%2B2%29%2F%28m%5E2%2B8m%2B15%29%29-%28%282%29%2F%28m%5E2%2B10m%2B25%29%29=%28m-2%29%2F%28m%5E2%2B8m%2B15%29-%28%28m%2B2%29%2F%28m%5E2%2B8m%2B15%29%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which becomes\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A%28-2%29%2F%28m%5E2%2B10m%2B25%29=%28%28m-2%29-%28%28m%2B2%29%29%29%2F%28m%5E2%2B8m%2B15%29%0D%0A ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Our next step is to factor denominators and simplify numerators\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A%28-2%29%2F%28%28m%2B5%29%28m%2B5%29%29=%28-4%29%2F%28%28m%2B5%29%28m%2B3%29%29%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0A%28-2%29%2F%28%28m%2B5%29%28m%2B5%29%29=%28-4%29%2F%28%28m%2B5%29%28m%2B3%29%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "After we divide out a common factor of -2/(m+5) we get the proportion:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0A1%2F%28m%2B5%29=2%2F%28m%2B3%29%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0A1%2F%28m%2B5%29=2%2F%28m%2B3%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now we cross multiply and solve for m\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%0D%0Am%2B3=2%28m%2B5%29%0D%0A ALIGN=MIDDLE  ALT=\"%0D%0Am%2B3=2%28m%2B5%29%0D%0A\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%2B3=2m%2B10 ALIGN=MIDDLE  ALT=\"m%2B3=2m%2B10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m-m%2B3-10=2m-m%2B10-10 ALIGN=MIDDLE  ALT=\"m-m%2B3-10=2m-m%2B10-10\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-7=m ALIGN=MIDDLE  ALT=\"-7=m\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore m=-7\r<BR>\n" );
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document.write( ":) </SPAN>\n" );
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